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Simplifying 90(x + -9) = 54(x + 9) Reorder the terms: 90(-9 + x) = 54(x + 9) (-9 * 90 + x * 90) = 54(x + 9) (-810 + 90x) = 54(x + 9) Reorder the terms: -810 + 90x = 54(9 + x) -810 + 90x = (9 * 54 + x * 54) -810 + 90x = (486 + 54x) Solving -810 + 90x = 486 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -810 + 90x + -54x = 486 + 54x + -54x Combine like terms: 90x + -54x = 36x -810 + 36x = 486 + 54x + -54x Combine like terms: 54x + -54x = 0 -810 + 36x = 486 + 0 -810 + 36x = 486 Add '810' to each side of the equation. -810 + 810 + 36x = 486 + 810 Combine like terms: -810 + 810 = 0 0 + 36x = 486 + 810 36x = 486 + 810 Combine like terms: 486 + 810 = 1296 36x = 1296 Divide each side by '36'. x = 36 Simplifying x = 36
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